Ellipticity on Manifolds With Edges and Boundary

• Autores: Xiaochun Liu, W. Schulze
• Localización: Monatshefte für mathematik, ISSN 0026-9255, Vol. 146, Nº 4, 2005, págs. 295-331
• Idioma: inglés
• DOI: 10.1007/s00605-005-0337-9
• Texto completo no disponible (Saber más ...)
• Resumen

  • Ellipticity of a manifold with edges and boundary is connected to boundary and edge conditions that complete corresponding operators to Fredholm operators between weighted Sobolev spaces. We study a new parameter-dependent calculus of elliptic operators, where the interior symbols have specific properties on the boundary. We construct elliptic operators with a prescribed number of edge conditions and obtain isomorphisms in the scale of edge Sobolev spaces.